A Non-Integrable Ohsawa-Takegoshi-Type L^2 Extension Theorem

par Dan Popovici

jeudi 17 oct. 2024, 10:30 → 11:30 Europe/Paris

Motivated by various problems in complex geometry, including Siu's
conjecture on the invariance of the plurigenera in Kähler families of
compact complex manifolds, we give an L^2 extension theorem, from a
complex hypersurface to the ambient complete Kähler manifold, for
approximately holomorphic sections of approximately holomorphic
complex line bundles associated with a transcendental cohomology class
of type (1, 1) satisfying a positivity condition.